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LCM of 601, 361, 419, 534, 208

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 601, 361, 419, 534, 208 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 601, 361, 419, 534, 208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 601,361,419,534,208

Given numbers are 601,361,419,534,208

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 601,361,419,534,208 is 5048592214224.

Find LCM of 601,361,419,534,208 with Prime Factorization


2 601, 361, 419, 534, 208
601, 361, 419, 267, 104

Multiply the prime numbers at the bottom and the left side.

2 x 601 x 361 x 419 x 267 x 104 = 5048592214224

Therefore, the lowest common multiple of 601,361,419,534,208 is 5048592214224.

LCM Formula to Find Lowest Common Multiple of 601,361,419,534,208

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

601 x 361 x 419 x 534 x 208 = 10097184428448

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

601 : 1, 601

361 : 1, 19, 361

419 : 1, 419

534 : 1, 2, 3, 6, 89, 178, 267, 534

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,361,419,534,208, is 1.

Now, the common factors can be found like this.

601:601

361:19x 19

419:419

534:2x 3x 89

208:2x 2x 2x 2x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 10097184428448/(1x2)

LCM = 10097184428448/2

LCM = 5048592214224

Thus, we can understand that the LCM of 601,361,419,534,208 is 5048592214224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 601, 361, 419, 534, 208

1. What is the LCM of 601, 361, 419, 534, 208?

Answer: LCM of 601, 361, 419, 534, 208 is 5048592214224.

2. How to calculate the LCM of 601, 361, 419, 534, 208?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 601, 361, 419, 534, 208.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.